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On the Power Laws of Language [PDF]
Proceedings of the 40th International ACM SIGIR Conference on Research and Development in Information Retrieval, 2017 About eight decades ago, Zipf postulated that the word frequency distribution of languages is a power law, i.e., it is a straight line on a log-log plot. Over the years, this phenomenon has been documented and studied extensively. For many corpora, however, the empirical distribution barely resembles a power law: when plotted on a log-log scale, the ...
CHIERICHETTI, FLAVIO +2 more
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Sampling power-law distributions [PDF]
Tectonophysics, 1995 Power-law distributions describe many phenomena related to rock fracture. Data collected to measure the parameters of such distributions only represent samples from some underlying population. Without proper consideration of the scale and size limitations of such data, estimates of the population parameters, particularly the exponent D, are likely to ...
Pickering, G. +2 more
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Power-law distributions: Beyond Paretian fractality [PDF]
Risk and Decision Analysis, 2009 The notion of fractality, in the context of positive-valued probability distributions, is conventionally associated with the class of Paretian probability laws. In this research we show that the Paretian class is merely one out of six classes of probability laws – all equally entitled to be ordained fractal, all possessing a characteristic power-law ...
Iddo Eliazar, Joseph Klafter
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Power-Law Time Distribution of Large Earthquakes [PDF]
Physical Review Letters, 2003 4 pages, 3 figures. Revised version accepted for publication. Typos corrected, more detailed discussion on the method used, refs added. Phys. Rev. Lett.
M. S. MEGA +6 more
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Power-law Distribution of Solar Cycle–modulated Coronal Jets
The Astrophysical Journal Supplement Series, 2023 Power-law distributions have been studied as a significant characteristic of nonlinear dissipative systems. Since discovering the power-law distribution of solar flares that was later extended to nanoflares and stellar flares, it has been widely accepted
Jiajia Liu +8 more
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A generalization of the power law distribution with nonlinear exponent [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2017 This is a preprint (28 pages, 7 tables, 5 figures)
Faustino Prieto, José María Sarabia
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Transition between distribution patterns in human dynamics with high activity
Physical Review Research, 2023 Complex interactions among a large number of individuals lead to multiple patterns of collective human behavior. However, the theoretical prediction of pattern transitions has not been empirically confirmed. This is because in previous empirical studies,
Ming Zhao +4 more
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Significance, 2017 AbstractMark Newman describes a statistical distribution to represent data spanning many orders of magnitude, from the frequencies of words in human language to the sizes of craters on the ...
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Power-Law Distributed Graph Generation With MapReduce [PDF]
IEEE Access, 2021 A graph generator is a tool which allows to create graph-like data whose structural properties are very similar to those found in real world networks. This paper presents two methods to generate graphs with power-law edge distribution based on the MapReduce processing model that can be easily implemented to run on top of Apache Hadoop.
Renzo Angles +2 more
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Taylor’s power law for the
Modern Stochastics: Theory and Applications, 2019 Taylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied.
István Fazekas +2 more
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